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Finding the Fourth Proportional to 2,453.76, 3,675.24 and 1,585.44

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Solution

The fourth proportional to 2,453.76, 3,675.24 and 1,585.44 is: 2,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.76 : 3,675.24 = 1,585.44 : x
  2. Step 2: Convert to fraction form
    2,453.76/3,675.24 = 1,585.44/x
  3. Step 3: Cross multiply
    2,453.76x = 3,675.24 × 1,585.44
  4. Step 4: Simplify right side
    2,453.76x = 5,826,872.51
  5. Step 5: Solve for x
    x = 5,826,872.51/2,453.76
  6. Step 6: Final answer
    x = 2,374.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.